Find the Third Term in a Sequence with Rule n/2

Question

A sequence has the following term-to-term rule:

n2 \frac{n}{2}

What is the the third term?

Video Solution

Solution Steps

00:00 Find the 3rd term
00:03 Substitute the desired term's position in the sequence formula and solve
00:19 And this is the solution to the question

Step-by-Step Solution

The third term in the sequence is the term a3 a_3 :

an=n2 a_n= \frac{n}{2}

We need to substitute in the position of the term in the sequence:

n=3 n=3

Now, using our values:

an=n2n=3a3=32 a_{\underline{n}}= \frac{\underline{n}}{2} \\ n=\underline{3}\\ \downarrow\\ a_{\underline{3}}=\frac{\underline{3}}{2}

Now we substitute the position of the term in the sequence (3) in place of n. The substitution is shown with an underline in the expression above.

Therefore, the correct answer is answer C.

Answer

32 \frac{3}{2}